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Research Article | Open Access

Smash product construction of modular lattice vertex algebras

School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, China
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Abstract

Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero.

Keywords

vertex operator algebramodular vertex algebra

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Electronic Research Archive
Volume 30 Issue 1,
January 2022
Pages 204-220
DOI: 10.3934/era.2022011

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Cite this article:
Mu Q. Smash product construction of modular lattice vertex algebras. Electronic Research Archive, 2022, 30(1): 204-220. https://doi.org/10.3934/era.2022011

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Received: 08 August 2021
Revised: 17 November 2021
Accepted: 17 November 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)